Abstract. We consider the conformal dimension of an operator with large spin, using a spinning D3-brane with electric flux in AdS₅ × S⁵ instead of spinning fundamental string. This spinning D3-brane solution seems to correspond to an operator made by taking trace in a large symmetric representation. The conformal dimension, the spin and the R-charge show a scaling relation in a certain region of parameters. In the small string charge limit, the result is consistent with the fundamental string picture. There is a phase transition when the fundamental string charge become larger than a certain critical value; there is no stable D3-brane solution above the critical value.

Key words: AdS-CFT Correspondence; D-branes

E-print number: 0908.3938
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Received 15 September 2009, accepted for publication 8 October 2009
Published 6 November 2009